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  • 标题:Uniformly asymptotic stability of almost periodic solutions for a delay difference system of plankton allelopathy
  • 本地全文:下载
  • 作者:Qinglong Wang ; Zhijun Liu
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2013
  • 卷号:2013
  • 期号:1
  • 页码:283
  • DOI:10.1186/1687-1847-2013-283
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this contribution, we investigate a delayed difference almost periodic system for the growth of two species of plankton with competition and allelopathic effects on each other. By using the methods of Lyapunov function and preliminary lemmas, sufficient conditions which guarantee the existence and uniformly asymptotic stability of a unique positive almost periodic solution of the system are established. An example together with its numerical simulations is presented to verify the validity of the proposed criteria.
  • 关键词:delay difference system ; allelopathy ; almost periodic solutions ; uniformly asymptotic stability ; Lyapunov function
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